8196310926400 has 189 divisors, whose sum is σ = 21291042917829. Its totient is φ = 3105145935360.

The previous prime is 8196310926383. The next prime is 8196310926407. The reversal of 8196310926400 is 46290136918.

It is a happy number.

The square root of 8196310926400 is 2862920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2950671933504 + 5245638992896 = 1717752^2 + 2290336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8196310926407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2175817317 + ... + 2175821083.

Almost surely, 2^{8196310926400} is an apocalyptic number.

8196310926400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8196310926400 is the 2862920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8196310926400

8196310926400 is an abundant number, since it is smaller than the sum of its proper divisors (13094731991429).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8196310926400 is an frugal number, since it uses more digits than its factorization.

8196310926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7594 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 8196310926400 by its sum of digits (49), we get a square (401619235393600 = 20040440²).

The spelling of 8196310926400 in words is "eight trillion, one hundred ninety-six billion, three hundred ten million, nine hundred twenty-six thousand, four hundred".